501 Challenging Logic And Reasoning Problems - 1

– QUESTIONS – Set Look at this series: 544, 509, 474, 439, What number should come next? a 404 b 414 c 420 d 445 (Answers begin on page 99.) Start off with these simple series of numbers Number series questions measure your ability to reason without words To answer these questions, you must determine the pattern of the numbers in each series before you will be able to choose which number comes next These questions involve only simple arithmetic Although most number series items progress by adding or subtracting, some questions involve simple multiplication or division In each series, look for the degree and direction of change between the numbers In other words, the numbers increase or decrease, and by how much? Look at this series: 201, 202, 204, 207, What number should come next? a 205 b 208 c 210 d 211 Look at this series: 8, 22, 8, 28, 8, What number should come next? a b 29 c 32 d 34 Look at this series: 2, 4, 6, 8, 10, What number should come next? a 11 b 12 c 13 d 14 Look at this series: 80, 10, 70, 15, 60, What number should come next? a 20 b 25 c 30 d 50 Look at this series: 58, 52, 46, 40, 34, What number should come next? a 26 b 28 c 30 d 32 Look at this series: 36, 34, 30, 28, 24, What number should come next? a 20 b 22 c 23 d 26 Look at this series: 40, 40, 47, 47, 54, What number should come next? a 40 b 44 c 54 d 61 Look at this series: 22, 21, 23, 22, 24, 23, What number should come next? a 22 b 24 c 25 d 26 – QUESTIONS – 10 Look at this series: 3, 4, 7, 8, 11, 12, What number should come next? a b 10 c 14 d 15 16 Look at this series: 7, 10, 8, 11, 9, 12, What number should come next? a b 10 c 12 d 13 11 Look at this series: 31, 29, 24, 22, 17, What number should come next? a 15 b 14 c 13 d 12 17 Look at this series: 14, 28, 20, 40, 32, 64, What number should come next? a 52 b 56 c 96 d 128 12 Look at this series: 21, 9, 21, 11, 21, 13, What number should come next? a 14 b 15 c 21 d 23 18 Look at this series: 1.5, 2.3, 3.1, 3.9, What number should come next? a 4.2 b 4.4 c 4.7 d 5.1 13 Look at this series: 53, 53, 40, 40, 27, 27, What number should come next? a 12 b 14 c 27 d 53 19 Look at this series: 5.2, 4.8, 4.4, 4, What number should come next? a b 3.3 c 3.5 d 3.6 14 Look at this series: 2, 6, 18, 54, What number should come next? a 108 b 148 c 162 d 216 20 Look at this series: 2, 1, ᎏ1ᎏ, ᎏ1ᎏ, What number should come next? a b c d 15 Look at this series: 1,000, 200, 40, What number should come next? a b 10 c 15 d 20 ᎏᎏ ᎏᎏ ᎏᎏ ᎏᎏ 16 – QUESTIONS – Set 24 18 21 25 18 29 33 18 a 43 18 b 41 44 c 37 18 d 37 41 e 38 41 (Answers begin on page 101.) This set contains additional, and sometimes more difficult, number series questions Again, each question has a definite pattern Some of the number series may be interrupted by a particular number that appears periodically in the pattern For example, in the series 14, 16, 32, 18, 20, 32, 22, 24, 32, the number 32 appears as every third number Sometimes, the pattern contains two alternating series For example, in the series 1, 5, 3, 7, 5, 9, 7, the pattern is add 4, subtract 2, add 4, subtract 2, and so on Look carefully for the pattern, and then choose which pair of numbers comes next Note also that you will be choosing from five options instead of four 25 11 33 13 15 33 17 a 19 33 b 33 35 c 33 19 d 15 33 e 19 21 26 14 20 26 32 38 a 46 b 44 50 c 42 48 d 40 42 e 32 26 21 84 78 72 66 60 54 48 a 44 34 b 42 36 c 42 32 d 40 34 e 38 32 27 28 25 21 18 14 a 11 b 10 c 11 d 10 e 10 22 13 18 23 28 33 a 39 44 b 38 44 c 38 43 d 37 42 e 33 38 28 12 11 14 13 16 15 a 14 13 b 18 21 c 14 17 d 12 13 e 18 17 23 20 20 17 17 14 14 11 a 8 b 11 11 c 11 14 d e 11 29 75 65 85 55 45 85 35 a 25 15 b 25 85 c 35 25 d 85 35 e 25 75 – QUESTIONS – 30 10 20 13 30 19 a 26 40 b 29 36 c 40 25 d 25 31 e 40 50 36 16 23 30 37 44 51 a 59 66 b 56 62 c 58 66 d 58 65 e 54 61 31 10 20 25 35 40 50 55 a 70 65 b 60 70 c 60 75 d 60 65 e 65 70 37 22 12 16 22 20 24 a 28 32 b 28 22 c 22 28 d 32 36 e 22 26 32 40 40 31 31 22 22 13 a 13 b 13 c 13 d e 4 38 20 14 10 12 a 14 10 b 18 c 12 d 14 e 14 14 33 17 17 34 20 20 31 23 a 26 23 b 34 20 c 23 33 d 27 28 e 23 28 39 11 16 21 26 31 36 41 a 47 52 b 46 52 c 45 49 d 46 51 e 46 52 34 a 10 b c 10 d e 40 11 21 15 18 21 22 a 25 18 b 25 21 c 25 29 d 24 21 e 22 26 35 61 57 50 61 43 36 61 a 29 61 b 27 20 c 31 61 d 22 15 e 29 22 – QUESTIONS – Set 46 14 14 26 26 38 38 50 a 60 72 b 50 62 c 50 72 d 62 62 e 62 80 (Answers begin on page 102.) This set will give you additional practice dealing with number series questions 41 44 41 38 35 32 29 26 a 24 21 b 22 19 c 23 19 d 29 32 e 23 20 47 12 13 10 14 11 a 14 11 b 15 12 c 15 d 15 19 e 42 10 14 18 22 26 30 a 36 40 b 33 37 c 38 42 d 34 36 e 34 38 48 26 10 13 20 16 a 14 b 14 17 c 18 14 d 19 13 e 19 14 43 34 30 26 22 18 14 10 a b c 14 18 d e 49 10 15 17 22 24 a 26 28 b 29 34 c 29 31 d 26 31 e 26 32 44 44 41 38 a 10 12 b 35 32 c 34 d 35 10 e 10 52 50 17 14 14 11 11 8 a b c d 5 e 45 32 29 26 23 20 17 14 a 11 b 12 c 11 d 32 29 e 10 51 13 29 15 26 17 23 19 a 21 23 b 20 21 c 20 17 d 25 27 e 22 20 – QUESTIONS – 52 16 26 56 36 46 68 56 a 80 66 b 64 82 c 66 80 d 78 68 e 66 82 57 11 14 14 17 17 20 20 a 23 23 b 23 26 c 21 24 d 24 24 e 24 27 53 66 12 14 66 17 a 19 66 b 66 19 c 19 22 d 20 66 e 66 20 58 17 32 19 29 21 26 23 a 25 25 b 20 22 c 23 25 d 25 22 e 27 32 54 35 10 12 35 17 a 22 35 b 35 19 c 19 35 d 19 24 e 22 24 59 10 34 12 31 14 28 16 a 25 18 b 30 13 c 19 26 d 18 20 e 25 22 55 36 31 29 24 22 17 15 a 13 11 b 10 c 13 d 12 e 10 60 32 31 32 29 32 27 32 a 25 32 b 31 32 c 29 32 d 25 30 e 29 30 56 42 40 38 35 33 31 28 a 25 22 b 26 23 c 26 24 d 25 23 e 26 22 – QUESTIONS – Set 65 Look at this series: 72, 76, 73, 77, 74, , 75, What number should fill the blank? a 70 b 71 c 75 d 78 (Answers begin on page 103.) This set contains additional number series questions, some of which are in Roman numerals These items differ from Sets 1, 2, and because they ask you to find the number that fits somewhere into the middle of the series Some of the items involve both numbers and letters; for these questions, look for a number series and a letter series (For additional practice in working letter series questions, see Set 5.) 66 Look at this series: 70, 71, 76, , 81, 86, 70, 91, What number should fill the blank? a 70 b 71 c 80 d 96 61 Look at this series: 8, 43, 11, 41, , 39, 17, What number should fill in the blank? a b 14 c 43 d 44 67 Look at this series: 664, 332, 340, 170, , 89, What number should fill the blank? a 85 b 97 c 109 d 178 62 Look at this series: 15, , 27, 27, 39, 39, What number should fill the blank? a 51 b 39 c 23 d 15 68 Look at this series: 0.15, 0.3, , 1.2, 2.4, What number should fill the blank? a 4.8 b 0.006 c 0.6 d 0.9 63 Look at this series: 83, 73, 93, 63, , 93, 43, What number should fill the blank? a 33 b 53 c 73 d 93 69 Look at this series: ᎏ1ᎏ, ᎏ1ᎏ, 1, , 9, What num9 ber should fill the blank? a ᎏ2ᎏ b c d 27 64 Look at this series: 4, 7, 25, 10, , 20, 16, 19, What number should fill the blank? a 13 b 15 c 20 d 28 70 Look at this series: U32, V29, , X23, Y20, What number should fill the blank? a W26 b W17 c Z17 d Z26 – QUESTIONS – 71 Look at this series: J14, L16, , P20, R22, What number should fill the blank? a S24 b N18 c M18 d T24 74 Look at this series: XXIV, XX, , XII, VIII, What number should fill the blank? a XXII b XIII c XVI d IV 72 Look at this series: F2, , D8, C16, B32, What number should fill the blank? a A16 b G4 c E4 d E3 75 Look at this series: VI, 10, V, 11, , 12, III, What number should fill the blank? a II b IV c IX d 14 73 Look at this series: V, VIII, XI, XIV, , XX, What number should fill the blank? a IX b XXIII c XV d XVII – QUESTIONS – Set 81 CMM EOO GQQ _ KUU a GRR b GSS c ISS d ITT (Answers begin on page 104.) Another type of sequence question involves a series of letters in a pattern Usually, these questions use the letters’ alphabetical order as a base To make matters more complicated, sometimes subscript numbers will be thrown into the letter sequence In these series, you will be looking at both the letter pattern and the number pattern Some of these questions ask you to fill the blank in the middle of the series; others ask you to add to the end of the series 82 QAR RAS SAT TAU _ a UAV b UAT c TAS d TAT 83 DEF DEF2 DE2F2 _ D2E2F3 a DEF3 b D3EF3 c D2E3F d D2E2F2 76 QPO NML KJI _ EDC a HGF b CAB c JKL d GHI 84 SCD TEF UGH WKL a CMN b UJI c VIJ d IJT 77 JAK KBL LCM MDN _ a OEP b NEO c MEN d PFQ 85 FAG GAF HAI IAH a JAK b HAL c HAK d JAI 78 B2CD _ BCD4 B5CD BC6D a B2C2D b BC3D c B2C3D d BCD7 86 BCB DED FGF HIH _ a JKJ b HJH c IJI d JHJ 79 ELFA GLHA ILJA _ MLNA a OLPA b KLMA c LLMA d KLLA 87 ZA5 Y4B XC6 W3D _ a E7V b V2E c VE5 d VE7 80 P5QR P4QS P3QT _ PQV a PQW b PQV2 c P2QU d PQ3U 10 – QUESTIONS – Set (Answers begin on page 105.) 93 This set contains sequence questions that use a series of nonverbal, nonnumber symbols Look carefully at the sequence of symbols to find the pattern a b c d 88 94 a b c d a 89 b c d 95 a b c d a b c d 90 96 a b c d a b c d 91 97 a b c d a b c d 92 98 a b c a d 11 b c d – QUESTIONS – 99 a 101 b c d a 100 a b c d 12 b c d  ... 12 11 14 13 16 15 a 14 13 b 18 21 c 14 17 d 12 13 e 18 17 23 20 20 17 17 14 14 11 a 8 b 11 11 c 11 14 d e 11 29 75 65 85 55 45 85 35 a 25 15 b 25 85 c 35 25 d 85 35 e 25 75 – QUESTIONS – 30 10 ... 31 d 26 31 e 26 32 44 44 41 38 a 10 12 b 35 32 c 34 d 35 10 e 10 52 50 17 14 14 11 11 8 a b c d 5 e 45 32 29 26 23 20 17 14 a 11 b 12 c 11 d 32 29 e 10 51 13 29 15 26 17 23 19 a 21 23 b 20 21. .. 12 c 15 d 15 19 e 42 10 14 18 22 26 30 a 36 40 b 33 37 c 38 42 d 34 36 e 34 38 48 26 10 13 20 16 a 14 b 14 17 c 18 14 d 19 13 e 19 14 43 34 30 26 22 18 14 10 a b c 14 18 d e 49 10 15 17 22 24